MinT - Information on Result #1140603

Information on Result #1140603

Linear OOA(2¹⁴⁴, 260, F₂, 6, 30) (dual of [(260, 6), 1416, 31]-NRT-code), using extracting embedded OOA based on digital (114, 144, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 36, 65)-net over F₁₆, using
- net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁴⁴, 260, F₂, 6, 29) (dual of [(260, 6), 1416, 30]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁵⁰, 261, F₂, 6, 30) (dual of [(261, 6), 1416, 31]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁵⁶, 262, F₂, 6, 30) (dual of [(262, 6), 1416, 31]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2¹⁴⁵, 260, F₂, 6, 30) (dual of [(260, 6), 1415, 31]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2¹⁴⁶, 260, F₂, 6, 30) (dual of [(260, 6), 1414, 31]-NRT-code)	[i]
6	Linear OOA(2¹⁴⁷, 260, F₂, 6, 30) (dual of [(260, 6), 1413, 31]-NRT-code)	[i]
7	Linear OOA(2¹⁴⁹, 260, F₂, 6, 30) (dual of [(260, 6), 1411, 31]-NRT-code)	[i]
8	Linear OOA(2¹⁵⁹, 263, F₂, 6, 30) (dual of [(263, 6), 1419, 31]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
9	Linear OOA(2¹⁶⁰, 265, F₂, 6, 30) (dual of [(265, 6), 1430, 31]-NRT-code)	[i]
10	Linear OOA(2¹⁶¹, 266, F₂, 6, 30) (dual of [(266, 6), 1435, 31]-NRT-code)	[i]
11	Linear OOA(2¹⁶², 267, F₂, 6, 30) (dual of [(267, 6), 1440, 31]-NRT-code)	[i]
12	Linear OOA(2¹⁶³, 268, F₂, 6, 30) (dual of [(268, 6), 1445, 31]-NRT-code)	[i]
13	Linear OOA(2¹⁶⁴, 269, F₂, 6, 30) (dual of [(269, 6), 1450, 31]-NRT-code)	[i]